Question:
Which one of the answer figures, shows the correct view of the 3 - D problem figure, after the problem figure is opened up ?
Which one of the answer figures, shows the correct view of the 3 - D problem figure, after the problem figure is opened up ?
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The object is a prism with a nine-sided stepped end profile, so its net needs nine rectangles in a strip plus two end caps of that profile shape.
Updated On: Nov 12, 2026
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The Correct Option is C
Solution and Explanation
The solid is a prism whose end face is a stepped shape: a tall left side, a top edge, a drop, a flat step, a sloping cut, a vertical side, a long bottom edge, a short vertical and a short horizontal edge, nine sides in all.
When the prism is opened up, every side face becomes a rectangle of the same width (the length of the prism), and the rectangles lie in one long strip in the order of the nine sides of the profile. The two end faces appear as two caps of the stepped shape attached on both sides of one rectangle of the strip, the one that matches the longest straight side of the cap.
So the correct net must show nine rectangles in the strip, with lengths following the sides of the cap in order.
Option (1) has only eight rectangles because two rectangles are merged in the lower part. Option (2) has only eight because two rectangles are merged in the upper part. Option (4) has ten, because one long rectangle is cut into two. Option (3) has nine rectangles with proportions that match the cap, so it is the correct net.
Answer: (3) Option (3) figure
When the prism is opened up, every side face becomes a rectangle of the same width (the length of the prism), and the rectangles lie in one long strip in the order of the nine sides of the profile. The two end faces appear as two caps of the stepped shape attached on both sides of one rectangle of the strip, the one that matches the longest straight side of the cap.
So the correct net must show nine rectangles in the strip, with lengths following the sides of the cap in order.
Option (1) has only eight rectangles because two rectangles are merged in the lower part. Option (2) has only eight because two rectangles are merged in the upper part. Option (4) has ten, because one long rectangle is cut into two. Option (3) has nine rectangles with proportions that match the cap, so it is the correct net.
Answer: (3) Option (3) figure
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